Running with a broken rib will cause it to never heal. I had two broke ribs a couple of years ago from combatives and they had to force me to stop running, but ultimately it was for the best. I wouldn't recommend running for about six weeks from my experience. I thought mine were just bruised until I had them looked at. The doctor even thought they were just bruised. He decided to send me to xrays as I was leaving and BAM! Broke ribs. It was awful. Wouldn't wish that pain on anybody.
I ran in my five fingers right away, but I started with short distances, a mile, two miles, etc. My Achilles tendon was sore for a bit until I got used to minimalist running. It was just growing stronger though.